Atkin-Lehner |
2- 3+ 5- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
2370i |
Isogeny class |
Conductor |
2370 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
6551552160000 = 28 · 38 · 54 · 792 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-853200,302980785] |
[a1,a2,a3,a4,a6] |
Generators |
[-435:24549:1] |
Generators of the group modulo torsion |
j |
68687274545774837740801/6551552160000 |
j-invariant |
L |
4.0211037459999 |
L(r)(E,1)/r! |
Ω |
0.57685072741329 |
Real period |
R |
3.485393668507 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
18960w2 75840v2 7110e2 11850l2 |
Quadratic twists by: -4 8 -3 5 |